1606315961250 has 1280 divisors, whose sum is σ = 6073271930880. Its totient is φ = 307579680000.

The previous prime is 1606315961197. The next prime is 1606315961311. The reversal of 1606315961250 is 521695136061.

1606315961250 is a `hidden beast` number, since 1 + 6 + 0 + 6 + 3 + 1 + 596 + 1 + 2 + 50 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 1606315961196 and 1606315961205.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 639 ways as a sum of consecutive naturals, for example, 2736483457 + ... + 2736484043.

It is an arithmetic number, because the mean of its divisors is an integer number (4744743696).

Almost surely, 2^{1606315961250} is an apocalyptic number.

1606315961250 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1606315961250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3036635965440).

1606315961250 is an abundant number, since it is smaller than the sum of its proper divisors (4466955969630).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1606315961250 is an equidigital number, since it uses as much as digits as its factorization.

1606315961250 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 661 (or 628 counting only the distinct ones).

The product of its (nonzero) digits is 291600, while the sum is 45.

The spelling of 1606315961250 in words is "one trillion, six hundred six billion, three hundred fifteen million, nine hundred sixty-one thousand, two hundred fifty".